On a New Generalization of Banach Contraction Principle with Application

Hüseyin Işık, Babak Mohammadi, Mohammad Reza Haddadi and Vahid Parvaneh
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Hüseyin Işık: Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
Babak Mohammadi: Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran
Mohammad Reza Haddadi: Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran
Vahid Parvaneh: Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran

Mathematics, 2019, vol. 7, issue 9, 1-8

Abstract: The main purpose of the current work is to present firstly a new generalization of Caristi’s fixed point result and secondly the Banach contraction principle. An example and an application is given to show the usability of our results.

Keywords: Banach contraction principle; Caristi fixed point; lower semi-continuous function; integral equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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